Thinking Mathematically (6th Edition)

by
Blitzer, Robert F.

Answer

A∪C' = {1,3,5,7}

Work Step by Step

U = {1,2,3,4,5,6,7}
A = { 1,3,5,7}
C = {2,3,4,5,6}
The set C' contains all the elements that are not in set C
Since C contains 2,3,4,5,6 so these elements will not be there in set C.
Therefore the elements of C' are 1,7.
B' = {1,7}
A ∪ C' shows all the elements of set A and set C' and excluding repeated ones list the elements from the first set, namely 1, 3,5,7. Now add to the list the elements in the second set that are not in the first set. There are no element is second set which are not present in first set,
The elements of A∪C' are 1,3,5,7.
Therefore A∪C' = {1,3,5,7}